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Finding the Fourth Proportional to 314,974.16, 472,528.21 and 101,754.30

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Solution

The fourth proportional to 314,974.16, 472,528.21 and 101,754.30 is: 152,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,974.16 : 472,528.21 = 101,754.30 : x
  2. Step 2: Convert to fraction form
    314,974.16/472,528.21 = 101,754.30/x
  3. Step 3: Cross multiply
    314,974.16x = 472,528.21 × 101,754.30
  4. Step 4: Simplify right side
    314,974.16x = 48,081,777,238.80
  5. Step 5: Solve for x
    x = 48,081,777,238.80/314,974.16
  6. Step 6: Final answer
    x = 152,653.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.